Geodesic
On the Range of the Fourier Transform Associated with the Spherical Mean Operator
Fractional calculus and applied analysis, Tome 7 (2004) no. 4, pp. 339-402 Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library

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We characterize the range of some spaces of functions by the Fourier transform associated with the spherical mean operator R and we give a new description of the Schwartz spaces. Next, we prove a Paley-Wiener and a Paley-Wiener-Schawrtz theorems.
Keywords: Spherical Mean Operator, Fourier Transform, Paley-Wiener-Schawrtz Theorems, 42B35, 43A32, 35S30 
@article{FCAA_2004_7_4_a0,
     author = {Jelassi, M. and Rachdi, L.},
     title = {On the {Range} of the {Fourier} {Transform} {Associated} with the {Spherical} {Mean} {Operator}},
     journal = {Fractional calculus and applied analysis},
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     url = {http://geodesic.mathdoc.fr/item/FCAA_2004_7_4_a0/}
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Jelassi, M.; Rachdi, L. On the Range of the Fourier Transform Associated with the Spherical Mean Operator. Fractional calculus and applied analysis, Tome 7 (2004) no. 4, pp. 339-402. http://geodesic.mathdoc.fr/item/FCAA_2004_7_4_a0/